等周不等式的微积分证明法

The Poof of Isoperimetric Inequality with Calculus

利用微积分中的面积和弧长计算公式,获得了等周不等式的一种较为简单的证明,同时还证明了Wirtinger不等式与等周不等式是等价的。

This paper gives a simple proof of the classical isoperimetric inequality by the calculation formula of curve and area in calculus. At the same time, the paper states that isoperimetric inequality equivalent to Wirtinger＇ s inequality.